---
_id: '34903'
abstract:
- lang: eng
  text: The software packageKANT V4for computations in algebraic number fields is
    now available in version 4. In addition a new user interface has been released.
    We will outline the features of this new software package.
author:
- first_name: M.
  full_name: DABERKOW, M.
  last_name: DABERKOW
- first_name: C.
  full_name: FIEKER, C.
  last_name: FIEKER
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: M.
  full_name: POHST, M.
  last_name: POHST
- first_name: K.
  full_name: ROEGNER, K.
  last_name: ROEGNER
- first_name: M.
  full_name: SCHÖRNIG, M.
  last_name: SCHÖRNIG
- first_name: K.
  full_name: WILDANGER, K.
  last_name: WILDANGER
citation:
  ama: DABERKOW M, FIEKER C, Klüners J, et al. KANT V4. <i>Journal of Symbolic Computation</i>.
    1997;24(3-4):267-283. doi:<a href="https://doi.org/10.1006/jsco.1996.0126">10.1006/jsco.1996.0126</a>
  apa: DABERKOW, M., FIEKER, C., Klüners, J., POHST, M., ROEGNER, K., SCHÖRNIG, M.,
    &#38; WILDANGER, K. (1997). KANT V4. <i>Journal of Symbolic Computation</i>, <i>24</i>(3–4),
    267–283. <a href="https://doi.org/10.1006/jsco.1996.0126">https://doi.org/10.1006/jsco.1996.0126</a>
  bibtex: '@article{DABERKOW_FIEKER_Klüners_POHST_ROEGNER_SCHÖRNIG_WILDANGER_1997,
    title={KANT V4}, volume={24}, DOI={<a href="https://doi.org/10.1006/jsco.1996.0126">10.1006/jsco.1996.0126</a>},
    number={3–4}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={DABERKOW, M. and FIEKER, C. and Klüners, Jürgen and POHST, M. and ROEGNER,
    K. and SCHÖRNIG, M. and WILDANGER, K.}, year={1997}, pages={267–283} }'
  chicago: 'DABERKOW, M., C. FIEKER, Jürgen Klüners, M. POHST, K. ROEGNER, M. SCHÖRNIG,
    and K. WILDANGER. “KANT V4.” <i>Journal of Symbolic Computation</i> 24, no. 3–4
    (1997): 267–83. <a href="https://doi.org/10.1006/jsco.1996.0126">https://doi.org/10.1006/jsco.1996.0126</a>.'
  ieee: 'M. DABERKOW <i>et al.</i>, “KANT V4,” <i>Journal of Symbolic Computation</i>,
    vol. 24, no. 3–4, pp. 267–283, 1997, doi: <a href="https://doi.org/10.1006/jsco.1996.0126">10.1006/jsco.1996.0126</a>.'
  mla: DABERKOW, M., et al. “KANT V4.” <i>Journal of Symbolic Computation</i>, vol.
    24, no. 3–4, Elsevier BV, 1997, pp. 267–83, doi:<a href="https://doi.org/10.1006/jsco.1996.0126">10.1006/jsco.1996.0126</a>.
  short: M. DABERKOW, C. FIEKER, J. Klüners, M. POHST, K. ROEGNER, M. SCHÖRNIG, K.
    WILDANGER, Journal of Symbolic Computation 24 (1997) 267–283.
date_created: 2022-12-23T10:02:24Z
date_updated: 2023-03-06T09:23:30Z
ddc:
- '000'
department:
- _id: '102'
doi: 10.1006/jsco.1996.0126
has_accepted_license: '1'
intvolume: '        24'
issue: 3-4
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 267-283
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: KANT V4
type: journal_article
user_id: '93826'
volume: 24
year: '1997'
...
---
_id: '34904'
abstract:
- lang: eng
  text: The purpose of this article is to determine all subfields ℚ(β) of fixed degree
    of a given algebraic number field ℚ(α). It is convenient to describe each subfield
    by a pair (h,g) of polynomials in ℚ[t] resp. Z[t] such thatgis the minimal polynomial
    of β = h(α). The computations are done in unramifiedp-adic extensions and use
    information concerning subgroups of the Galois group of the normal closure of
    ℚ(α) obtained from the van der Waerden criterion.
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: Michael
  full_name: Pohst, Michael
  last_name: Pohst
citation:
  ama: Klüners J, Pohst M. On Computing Subfields. <i>Journal of Symbolic Computation</i>.
    1997;24(3-4):385-397. doi:<a href="https://doi.org/10.1006/jsco.1996.0140">10.1006/jsco.1996.0140</a>
  apa: Klüners, J., &#38; Pohst, M. (1997). On Computing Subfields. <i>Journal of
    Symbolic Computation</i>, <i>24</i>(3–4), 385–397. <a href="https://doi.org/10.1006/jsco.1996.0140">https://doi.org/10.1006/jsco.1996.0140</a>
  bibtex: '@article{Klüners_Pohst_1997, title={On Computing Subfields}, volume={24},
    DOI={<a href="https://doi.org/10.1006/jsco.1996.0140">10.1006/jsco.1996.0140</a>},
    number={3–4}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Klüners, Jürgen and Pohst, Michael}, year={1997}, pages={385–397} }'
  chicago: 'Klüners, Jürgen, and Michael Pohst. “On Computing Subfields.” <i>Journal
    of Symbolic Computation</i> 24, no. 3–4 (1997): 385–97. <a href="https://doi.org/10.1006/jsco.1996.0140">https://doi.org/10.1006/jsco.1996.0140</a>.'
  ieee: 'J. Klüners and M. Pohst, “On Computing Subfields,” <i>Journal of Symbolic
    Computation</i>, vol. 24, no. 3–4, pp. 385–397, 1997, doi: <a href="https://doi.org/10.1006/jsco.1996.0140">10.1006/jsco.1996.0140</a>.'
  mla: Klüners, Jürgen, and Michael Pohst. “On Computing Subfields.” <i>Journal of
    Symbolic Computation</i>, vol. 24, no. 3–4, Elsevier BV, 1997, pp. 385–97, doi:<a
    href="https://doi.org/10.1006/jsco.1996.0140">10.1006/jsco.1996.0140</a>.
  short: J. Klüners, M. Pohst, Journal of Symbolic Computation 24 (1997) 385–397.
date_created: 2022-12-23T10:03:02Z
date_updated: 2023-03-06T10:36:21Z
ddc:
- '000'
department:
- _id: '102'
doi: 10.1006/jsco.1996.0140
has_accepted_license: '1'
intvolume: '        24'
issue: 3-4
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 385-397
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: On Computing Subfields
type: journal_article
user_id: '93826'
volume: 24
year: '1997'
...
---
_id: '42806'
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Klüners J. <i>Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer
    Zahlkörper (Dissertation)</i>.; 1997.
  apa: Klüners, J. (1997). <i>Über die Berechnung von Automorphismen und Teilkörpern
    algebraischer Zahlkörper (Dissertation)</i>.
  bibtex: '@book{Klüners_1997, place={TU Berlin}, title={Über die Berechnung von Automorphismen
    und Teilkörpern algebraischer Zahlkörper (Dissertation)}, author={Klüners, Jürgen},
    year={1997} }'
  chicago: Klüners, Jürgen. <i>Über Die Berechnung von Automorphismen Und Teilkörpern
    Algebraischer Zahlkörper (Dissertation)</i>. TU Berlin, 1997.
  ieee: J. Klüners, <i>Über die Berechnung von Automorphismen und Teilkörpern algebraischer
    Zahlkörper (Dissertation)</i>. TU Berlin, 1997.
  mla: Klüners, Jürgen. <i>Über Die Berechnung von Automorphismen Und Teilkörpern
    Algebraischer Zahlkörper (Dissertation)</i>. 1997.
  short: J. Klüners, Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer
    Zahlkörper (Dissertation), TU Berlin, 1997.
date_created: 2023-03-07T09:00:38Z
date_updated: 2023-03-07T09:24:39Z
department:
- _id: '102'
extern: '1'
language:
- iso: eng
page: '93'
place: TU Berlin
related_material:
  link:
  - relation: confirmation
    url: https://math.uni-paderborn.de/fileadmin/mathematik/AG-Computeralgebra/Publications-klueners/diss.pdf
status: public
title: Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper
  (Dissertation)
type: dissertation
user_id: '93826'
year: '1997'
...
---
_id: '42808'
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Klüners J. <i>Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper
    (Diplomarbeit)</i>.; 1995.
  apa: Klüners, J. (1995). <i>Über die Berechnung von Teilkörpern algebraischer Zahlkörper
    (Diplomarbeit)</i>.
  bibtex: '@book{Klüners_1995, place={TU Berlin}, title={Über die Berechnung von Teilkörpern
    algebraischer Zahlkörper (Diplomarbeit)}, author={Klüners, Jürgen}, year={1995}
    }'
  chicago: Klüners, Jürgen. <i>Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper
    (Diplomarbeit)</i>. TU Berlin, 1995.
  ieee: J. Klüners, <i>Über die Berechnung von Teilkörpern algebraischer Zahlkörper
    (Diplomarbeit)</i>. TU Berlin, 1995.
  mla: Klüners, Jürgen. <i>Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper
    (Diplomarbeit)</i>. 1995.
  short: J. Klüners, Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper
    (Diplomarbeit), TU Berlin, 1995.
date_created: 2023-03-07T09:12:39Z
date_updated: 2023-03-07T09:25:16Z
department:
- _id: '102'
extern: '1'
language:
- iso: eng
page: '91'
place: TU Berlin
related_material:
  link:
  - relation: confirmation
    url: https://math.uni-paderborn.de/fileadmin/mathematik/AG-Computeralgebra/Publications-klueners/diplom.pdf
status: public
title: Über die Berechnung von Teilkörpern algebraischer Zahlkörper (Diplomarbeit)
type: mastersthesis
user_id: '93826'
year: '1995'
...